The distance the Brennan family has traveled is dependent on the number of hours they have been driving. This relationship is shown in the table. What is a reasonable distance they would have traveled in 17 hours?

Time
(hours)
Distance
(miles)
2
120
5
300
9
540
11
660

A. 60
Incorrect. Find the relationship between the time and distance traveled then multiply by the number of hours given (hours x 60).

B. 960
Incorrect. Find the relationship between the time and distance traveled then multiply by the number of hours given (hours x 60).

C. 1020
Correct! The relationship between the time and distance traveled is (hours x 60) = 17 x 60 = 1020 miles.

D. 540
Incorrect. Find the relationship between the time and distance traveled then multiply by the number of hours given (hours x 60).


The Moreno family would like to rent a sailboat while on vacation. The rental cost is dependent on the number of hours the sailboat is rented plus a $35 deposit. This relationship is represented in the table below. How many hours can the Moreno family rent the sailboat in one day if they have $450 to spend?

Time
(hours)
Cost
(dollars)
2
$135
3
$185
5
$285
7
$385

A. 6
Incorrect. Find the relationship between the time and the cost. Then multiply the time by this amount (time x $50) and don’t forget the $35 deposit.

B. 8
Correct! The relationship between the time and cost is $50 per hour. After paying the deposit the Moreno’s have $415 left or 8 hours to rent the sailboat.

C. 9
Incorrect. Remember the $35 deposit. Then multiply the time by this amount (time x $50).

D. 10
Incorrect. Find the relationship between the time and the cost. Then multiply the time by this amount (time x $50) and don’t forget the $35 deposit.


The Student Council needs to earn money to go to their state convention. They have decided to have a bake sale during the lunch periods. Bags of cookies will sell for $0.75 and brownies will sell for $0.50 each. At the end of A lunch, the Student Council had made $16.00. How many bags of cookies and brownies were sold during A lunch?

A. 8 bags of cookies and 15 brownies
Incorrect. Multiply the number of bags of cookies by 0.75 and the number of brownies by 0.50. The total should be $16.

B. 10 bags pf cookies and 13 brownies
Incorrect. Multiply the number of bags of cookies by 0.75 and the number of brownies by 0.50. The total should be $16.

C. 10 bags of cookies and 16 brownies
Incorrect. Multiply the number of bags of cookies by 0.75 and the number of brownies by 0.50. The total should be $16.

D. 12 bags of cookies and 14 brownies
Correct! 12 × 0.75 + 14 × 0.50 = $16.


The Cobb family video store is analyzing the profit made during each two hour shift. To calculate the profit, the Cobb family uses the formula p = 2x – 50, where p is the profit, and x is the number of videos rented. If the Cobb family wanted to close one shift of the video store, based on the information in the table, which decision would maximize their profits?

Shift times
Number of videos rented
10am – 12pm
20
12pm – 2pm
35
2pm – 4pm
45
4pm – 6pm
75
6pm – 8pm
100
8pm – 10pm
75

A. Close the store from 10am - 12pm because the store is losing $10 a day during this shift.
Correct! p = 2(20) − 50 = 40 − 50 = -10. The store is losing money during this time period.

B. Close the store from 10am – 12pm because the store’s profits are only $20 during this shift.
Incorrect. Input the number of videos rented into the profit formula, p = 2(number of videos) − 50 for each shift. Then look for the shift with the lowest profits.

C. Close the store from 12pm - 2 pm because the store's profits are only $20 during this shift.
Incorrect. Input the number of videos rented into the profit formula, p = 2(number of videos) − 50 for each shift. Then look for the shift with the lowest profits.

D. All the shifts are making a profit so they should all stay open.
Incorrect. Input the number of videos rented into the profit formula, p = 2(number of videos) − 50 for each shift. Then look for the shift with the lowest profits.